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289002480 = 243513211439
BaseRepresentation
bin10001001110011…
…101001111110000
3202010210211212120
4101032131033300
51042441034410
644402154240
710106323554
oct2116351760
9663724776
10289002480
11139152928
1280952980
1347b4a1b0
142a54d864
151a58a570
hex1139d3f0

289002480 has 160 divisors (see below), whose sum is σ = 971604480. Its totient is φ = 70640640.

The previous prime is 289002463. The next prime is 289002503. The reversal of 289002480 is 84200982.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 658101 + ... + 658539.

It is an arithmetic number, because the mean of its divisors is an integer number (6072528).

Almost surely, 2289002480 is an apocalyptic number.

289002480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289002480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485802240).

289002480 is an abundant number, since it is smaller than the sum of its proper divisors (682602000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

289002480 is a wasteful number, since it uses less digits than its factorization.

289002480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 289002480 is about 17000.0729410200. The cubic root of 289002480 is about 661.1507930160.

The spelling of 289002480 in words is "two hundred eighty-nine million, two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 211 240 260 312 390 422 439 520 624 633 780 844 878 1040 1055 1266 1317 1560 1688 1756 2110 2195 2532 2634 2743 3120 3165 3376 3512 4220 4390 5064 5268 5486 5707 6330 6585 7024 8229 8440 8780 10128 10536 10972 11414 12660 13170 13715 16458 16880 17121 17560 21072 21944 22828 25320 26340 27430 28535 32916 34242 35120 41145 43888 45656 50640 52680 54860 57070 65832 68484 82290 85605 91312 92629 105360 109720 114140 131664 136968 164580 171210 185258 219440 228280 273936 277887 329160 342420 370516 456560 463145 555774 658320 684840 741032 926290 1111548 1204177 1369680 1389435 1482064 1852580 2223096 2408354 2778870 3612531 3705160 4446192 4816708 5557740 6020885 7225062 7410320 9633416 11115480 12041770 14450124 18062655 19266832 22230960 24083540 28900248 36125310 48167080 57800496 72250620 96334160 144501240 289002480